{"id":14937,"date":"2025-03-14T08:51:55","date_gmt":"2025-03-14T08:51:55","guid":{"rendered":"https:\/\/support.buildsoft.eu\/?post_type=ht_kb&p=14937"},"modified":"2025-03-14T08:51:55","modified_gmt":"2025-03-14T08:51:55","slug":"dt-ec-03-buckling-in-and-out-of-the-plane","status":"publish","type":"ht_kb","link":"https:\/\/support.buildsoft.eu\/nl\/knowledge-base\/dt-ec-03-buckling-in-and-out-of-the-plane\/","title":{"rendered":"DT EC 03: Buckling in and out of the plane"},"content":{"rendered":"

Description<\/h2>\n

\"\"<\/p>\n

\n\n\n\n\n\n\n\n
Geometry<\/th>\nCross-section:<\/td>\n70x221mm<\/td>\n<\/tr>\n
Material:<\/td>\nC24<\/td>\n<\/tr>\n
Load<\/th>\nIn ULS FC:<\/td>\nP = 15kN
\nq = 4.69kN\/m<\/td>\n<\/tr>\n
Standard<\/th>\n<\/td>\nEN 1995-1-1 [- -]<\/td>\n<\/tr>\n
Design parameters<\/th>\nkmod<\/sub>:
\nLy<\/sub> and Lz<\/sub>:<\/td>\n		0.8
\n3m<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Independent reference results<\/h2>\n
<\/span>Open handcalculations<\/div>
\n

  <\/span>   <\/span>\"\[i_y=\sqrt{\frac{I_y}{A}}=\sqrt{\frac{62964189 mm^4}{15470 mm^2}}=63.8mm\]\"<\/p>\n

  <\/span>   <\/span>\"\[i_z=\sqrt{\frac{I_z}{A}}=\sqrt{\frac{6316917 mm^4}{15470 mm^2}}=20.2mm\]\"<\/p>\n

  <\/span>   <\/span>\"\[\lambda_y=\frac{l_{cr.y}}{i_y}=\frac{3m}{63.8mm}=47.02\]\"<\/p>\n

  <\/span>   <\/span>\"\[\lambda_z=\frac{l_{cr.z}}{i_z}=\frac{3m}{20.2mm}=148.46\]\"<\/p>\n

  <\/span>   <\/span>\"\[\]\"<\/p>\n

  <\/span>   <\/span>\"\[\]\"<\/p>\n

  <\/span>   <\/span>\"\[\]\"<\/p>\n

(6.21) <\/span>   <\/span>\"\begin{align*}<\/p>\n

(6.29) <\/span>   <\/span>\"\begin{align*}<\/p>\n

(6.27) <\/span>   <\/span>\"\begin{align*}<\/p>\n

(6.28) <\/span>   <\/span>\"\begin{align*}<\/p>\n

(6.25) <\/span>   <\/span>\"\begin{align*}<\/p>\n

(6.26) <\/span>   <\/span>\"\begin{align*}<\/p>\n

From EN 1995-1-1 \u00a76.1.6 (2)<\/p>\n

  <\/span>   <\/span>\"\[k_m=0.7\]\"<\/p>\n

Because \"\lambda_z\" > \"0.3\" (EN 1995-1-1 \u00a76.3.2) the unity check is performed using equations 6.23 and 6.24.<\/p>\n

(6.23) <\/span>   <\/span>\"\begin{align*}<\/p>\n<\/div><\/div><\/div>\n

Diamonds results and comparison<\/h2>\n

\"\"<\/p>\n

Stability verification of the beam according to EN 1995-1-1<\/strong><\/p>\n

\"\"<\/p>\n

Intermediate results in Diamonds for buckling and lateral torsional buckling<\/strong><\/p>\n

\n\n\n\n\n\n\n\n\n\n\n\n\n
Results<\/th>\nIndependent reference<\/th>\nDiamonds<\/th>\nDifference<\/th>\n<\/tr>\n
\"\lambda_y\"<\/td>\n47.02<\/td>\n47.02<\/td>\n0,00%<\/td>\n<\/tr>\n
\"\lambda_z\"<\/td>\n148.46<\/td>\n148.46<\/td>\n0,00%<\/td>\n<\/tr>\n
\"\overline{\lambda_y}\"<\/td>\n0.80<\/td>\n0.80<\/td>\n0,00%<\/td>\n<\/tr>\n
\"\overline{\lambda_z}\"<\/td>\n2.52<\/td>\n2.52<\/td>\n0,00%<\/td>\n<\/tr>\n
\"k_y\"<\/td>\n0.87<\/td>\n0.87<\/td>\n0,00%<\/td>\n<\/tr>\n
\"k_z\"<\/td>\n3.90<\/td>\n3.90<\/td>\n0,00%<\/td>\n<\/tr>\n
\"k_{c.y}\"<\/td>\n0.826<\/td>\n0.826<\/td>\n0,00%<\/td>\n<\/tr>\n
\"k_{c.z}\"<\/td>\n0.145<\/td>\n0.145<\/td>\n0,00%<\/td>\n<\/tr>\n
Unity check<\/td>\n96.3%<\/td>\n95.5%<\/td>\n-0,83%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

References<\/h2>\n
    \n
  • EN 1995-1-1: 2005 + AC: 2006<\/li>\n<\/ul>\n
      \n
    • Tested in Diamonds 2026.<\/li>\n<\/ul>\n\n","protected":false},"excerpt":{"rendered":"

      Description Independent reference results Diamonds results and comparison Stability verification of the beam according to EN 1995-1-1 Intermediate results in Diamonds for buckling and lateral torsional buckling References EN 1995-1-1: 2005 + AC: 2006<\/p>\n","protected":false},"author":3,"comment_status":"closed","ping_status":"closed","template":"","format":"standard","meta":[],"ht-kb-category":[1213],"ht-kb-tag":[],"_links":{"self":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/14937"}],"collection":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb"}],"about":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/types\/ht_kb"}],"author":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/comments?post=14937"}],"version-history":[{"count":3,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/14937\/revisions"}],"predecessor-version":[{"id":14958,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/14937\/revisions\/14958"}],"wp:attachment":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/media?parent=14937"}],"wp:term":[{"taxonomy":"ht_kb_category","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb-category?post=14937"},{"taxonomy":"ht_kb_tag","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb-tag?post=14937"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}